The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method

doi:10.1088/1674-1056/21/10/100303

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100303-100303.doi: 10.1088/1674-1056/21/10/100303

The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method

何英, Tao Qiu-Gong陶求功, Yang Yan-Fang杨艳芳

Department of Physics, Shanghai University, Shanghai 200444, China

收稿日期:2012-02-22 修回日期:2012-03-19 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
Project supported by the Fund front the Science and Technology Committee of Shanghai Municipality, China (Grant No. 11ZR1412300) and the National Natural Science Foundation of China (Grant No. 61108010).

The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method

He Ying (何英), Tao Qiu-Gong (陶求功), Yang Yan-Fang (杨艳芳)

Department of Physics, Shanghai University, Shanghai 200444, China

Received:2012-02-22 Revised:2012-03-19 Online:2012-09-01 Published:2012-09-01
Contact: He Ying E-mail:heying@staff.shu.edu.cn
Supported by:
Project supported by the Fund front the Science and Technology Committee of Shanghai Municipality, China (Grant No. 11ZR1412300) and the National Natural Science Foundation of China (Grant No. 61108010).

摘要/Abstract

摘要： We study the eigenvalues of the rotating Morse potential by using the quantization condition from the analytical transfer matrix (ATM) method. A hierarchy of supersymmetric partner potentials is obtained with Pekeris approximation, which can be used to calculate the energies of higher rotational states from the energies of lower states. The energies of rotational states of the hydrogen molecule are calculated by the ATM condition, and comparison of the results with those from the hypervirial perturbation method reveals that the accuracy of the approximate expression of Pekeris for the eigenvalues of the rotating Morse potential can be improved substantially in the framework of supersymmetric quantum mechanics.

关键词: rotating Morse potential, analytical transfer matrix (ATM), Pekeris approximation, supersymmetry quantum mechanics (SUSY QM)

Abstract: We study the eigenvalues of the rotating Morse potential by using the quantization condition from the analytical transfer matrix (ATM) method. A hierarchy of supersymmetric partner potentials is obtained with Pekeris approximation, which can be used to calculate the energies of higher rotational states from the energies of lower states. The energies of rotational states of the hydrogen molecule are calculated by the ATM condition, and comparison of the results with those from the hypervirial perturbation method reveals that the accuracy of the approximate expression of Pekeris for the eigenvalues of the rotating Morse potential can be improved substantially in the framework of supersymmetric quantum mechanics.

Key words: rotating Morse potential, analytical transfer matrix (ATM), Pekeris approximation, supersymmetry quantum mechanics (SUSY QM)

中图分类号: (Semiclassical theories and applications)

03.65.Sq

03.65.Ge (Solutions of wave equations: bound states) 11.30.Pb (Supersymmetry)

何英, Tao Qiu-Gong陶求功, Yang Yan-Fang杨艳芳. The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method[J]. 中国物理B, 2012, 21(10): 100303-100303.

He Ying (何英), Tao Qiu-Gong (陶求功), Yang Yan-Fang (杨艳芳). The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method[J]. Chin. Phys. B, 2012, 21(10): 100303-100303.

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The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method

The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method

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